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Beliebt Rechnen >

derivative f(x)=sqrt(x+4)

Lösung

ableitung von

f (x) = x + 4

Lösung

\frac{1}{2 x + 4}

Schritte zur Lösung

\frac{d}{d x} (x + 4)

Wende die Kettenregel an:

\frac{1}{2 x + 4} \frac{d}{d x} (x + 4)

= \frac{1}{2 x + 4} \frac{d}{d x} (x + 4)

\frac{d}{d x} (x + 4) = 1

= \frac{1}{2 x + 4} \cdot 1

Vereinfache

= \frac{1}{2 x + 4}

Graph

Beliebte Beispiele

derivative (x^2-2x+2)/(x-1)

d er i v a t i v e \frac{x ^{2} - 2 x + 2}{x - 1}

integral of (4x^6+3x^5-8)/(x^5)

\int \frac{4 x ^{6} + 3 x ^{5} - 8}{x ^{5}} d x

(dy)/(dx)=((e^x-1))/(e^y)

\frac{d y}{d x} = \frac{( e ^{x} - 1 )}{e ^{y}}

(\partial)/(\partial y)(1+ln(x)+y/x)

\frac{\partial}{\partial y} (1 + ln (x) + \frac{y}{x})

integral of e^{4x^2}

\int e^{4 x^{2}} d x